Question

Which of the following sequence of steps, when completed, will solve the equation -6+3y=1 for y?

1) Subtract 1 from both sides of the equation, then divide both sides of the new equation by -6.
2) Subtract 1 from both sides of the equation, then divide both sides by 6.
3) Add 6 to both sides of the equation, then divide both sides by 3.
4) Add 6 to both sides, then subtract 3 from both sides.
5) Divide both sides of the equation by 3, then subtract 6 from both sides.

Answer 1

3) Add 6 to both sides of the equation, then divide both sides by 3.

Step-by-step explanation:

You want y alone.

y is being multiplied by 3 to give 3y. Then -6 is being added to 3y.

To solve the equation, you need to do the opposite of the two steps above in the reverse order.

Start by adding 6 to both sides.

Then divide both sides by 3.

Answer: 3) Add 6 to both sides of the equation, then divide both sides by 3.

Answer 2

To solve the equation -6+3y=1 for y, subtract 1 from both sides of the equation, then divide both sides of the new equation by 3.

Step-by-step explanation:

To solve the equation -6+3y=1 for y, you can use the following sequence of steps:

1. Subtract 1 from both sides of the equation: -6+3y-1=1-1
2. Simplify the equation: -5+3y=0
3. Subtract -5 from both sides of the equation: -5+5+3y=0+5
4. Simplify the equation: 3y=5
5. Divide both sides of the equation by 3: ∕3
6. Simplify the equation: y=5/3

Therefore, the correct sequence of steps to solve the equation -6+3y=1 for y is to subtract 1 from both sides of the equation, then divide both sides of the new equation by 3.